Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima

Equate I derivative to 0

If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
=
cubic metres
-4,6
x^2 - 2x - 24 = 0
Factorise the equation
Products are -6 and 4
(x-6) (x+4) = 0
x = 6 and x = -4
Hope it helped!
C.) 0.0001 is a power of ten
The length of the paintball machine could vary. If it is a square; then it would be 44.25 in. If it was a rectangle the answer Could be many different lengths, but one is 65 in (Width 23.5 in) I hope this helped ^^